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Finding the Fourth Proportional to 193,642.64, 290,513.23 and 113,748.16

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Solution

The fourth proportional to 193,642.64, 290,513.23 and 113,748.16 is: 170,651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,642.64 : 290,513.23 = 113,748.16 : x
  2. Step 2: Convert to fraction form
    193,642.64/290,513.23 = 113,748.16/x
  3. Step 3: Cross multiply
    193,642.64x = 290,513.23 × 113,748.16
  4. Step 4: Simplify right side
    193,642.64x = 33,045,343,915.59
  5. Step 5: Solve for x
    x = 33,045,343,915.59/193,642.64
  6. Step 6: Final answer
    x = 170,651.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.